Unwrapped Standard 4
... 1. Perimeter and circumference is a distance around a figure (units), area and surface area is the inside space (units squared), and volume is how much a figure holds (units cubed). 2. Triangles can be classified by their sides and/or angles. 3. The angles in all triangles have a sum of 180 degrees. ...
... 1. Perimeter and circumference is a distance around a figure (units), area and surface area is the inside space (units squared), and volume is how much a figure holds (units cubed). 2. Triangles can be classified by their sides and/or angles. 3. The angles in all triangles have a sum of 180 degrees. ...
Unit 1C: Geometric Reasoning and Proofs
... Unit 1C: Geometric Reasoning and Proofs □ I can identify and name important building blocks of geometry. □ I will identify and name points, lines, planes, rays, and line segments. □ I will use symbolic notation to describe points, lines, planes, rays, and line segments. □ I can use special angles an ...
... Unit 1C: Geometric Reasoning and Proofs □ I can identify and name important building blocks of geometry. □ I will identify and name points, lines, planes, rays, and line segments. □ I will use symbolic notation to describe points, lines, planes, rays, and line segments. □ I can use special angles an ...
4-1 and 4-2 Angles of a Triangle
... Classifying Triangles by Sides Scalene Triangle – no sides congruent Isosceles Triangle – ...
... Classifying Triangles by Sides Scalene Triangle – no sides congruent Isosceles Triangle – ...
Chaptus Threeus Reviewus (Latin for there is a test on Wednesday
... (Latin for there is a test on Wednesday. Don’t forget about Sketchpad!) Vocabulary: Skew lines, parallel lines, alternate interior angles, same side interior angles, corresponding angles, transversal, regular polygon, equilateral, equiangular Theorems: (These will NOT be given to you on test day) If ...
... (Latin for there is a test on Wednesday. Don’t forget about Sketchpad!) Vocabulary: Skew lines, parallel lines, alternate interior angles, same side interior angles, corresponding angles, transversal, regular polygon, equilateral, equiangular Theorems: (These will NOT be given to you on test day) If ...
ALGEO II SPRING
... 3. name points, lines, planes, collinear points, coplanar points and coplanar lines. 4. name the intersection of two points and two planes. 5. find the distance between two points; find the distance by adding or subtracting. 6. name an angle, classify angles and measure angles. 7. use the midpoint f ...
... 3. name points, lines, planes, collinear points, coplanar points and coplanar lines. 4. name the intersection of two points and two planes. 5. find the distance between two points; find the distance by adding or subtracting. 6. name an angle, classify angles and measure angles. 7. use the midpoint f ...
Lesson Title:Reading Graphs for Information
... arguments Representing – develop and apply reasoning skills to make and investigate conjectures and construct and defend arguments Key Ideas - Geometric objects have properties that allow them to be classified and described in a variety of different ways - Understanding relationships between geometr ...
... arguments Representing – develop and apply reasoning skills to make and investigate conjectures and construct and defend arguments Key Ideas - Geometric objects have properties that allow them to be classified and described in a variety of different ways - Understanding relationships between geometr ...
Euler angles
The Euler angles are three angles introduced by Leonhard Euler to describe the orientation of a rigid body. To describe such an orientation in 3-dimensional Euclidean space three parameters are required. They can be given in several ways, Euler angles being one of them; see charts on SO(3) for others. Euler angles are also used to describe the orientation of a frame of reference (typically, a coordinate system or basis) relative to another. They are typically denoted as α, β, γ, or φ, θ, ψ.Euler angles represent a sequence of three elemental rotations, i.e. rotations about the axes of a coordinate system. For instance, a first rotation about z by an angle α, a second rotation about x by an angle β, and a last rotation again about z, by an angle γ. These rotations start from a known standard orientation. In physics, this standard initial orientation is typically represented by a motionless (fixed, global, or world) coordinate system; in linear algebra, by a standard basis.Any orientation can be achieved by composing three elemental rotations. The elemental rotations can either occur about the axes of the fixed coordinate system (extrinsic rotations) or about the axes of a rotating coordinate system, which is initially aligned with the fixed one, and modifies its orientation after each elemental rotation (intrinsic rotations). The rotating coordinate system may be imagined to be rigidly attached to a rigid body. In this case, it is sometimes called a local coordinate system. Without considering the possibility of using two different conventions for the definition of the rotation axes (intrinsic or extrinsic), there exist twelve possible sequences of rotation axes, divided in two groups: Proper Euler angles (z-x-z, x-y-x, y-z-y, z-y-z, x-z-x, y-x-y) Tait–Bryan angles (x-y-z, y-z-x, z-x-y, x-z-y, z-y-x, y-x-z). Tait–Bryan angles are also called Cardan angles; nautical angles; heading, elevation, and bank; or yaw, pitch, and roll. Sometimes, both kinds of sequences are called ""Euler angles"". In that case, the sequences of the first group are called proper or classic Euler angles.